Elective Mathematics

Question 1

1If f(x) = 5x − 5, then f(4) = ___

Easy

Your answer (fill in the blank)

Question 2

2If f(x) = 2x + 8 and g(x) = 4x − 2, find f(g(3)).

Medium

A. 28 B. 32 C. 24 D. 54

Question 3

3If f(x) = 2x − 1, then f(2) = ___

Easy

Your answer (fill in the blank)

Question 4

4If f(x) = 5x + 3 and g(x) = 4x − 5, find f(g(3)).

Medium

A. 38 B. 25 C. 63 D. 67

Question 5

5Find the inverse of f(x) = 5x + 2.

Medium

A. 5(x − 2) B. (x − 2)/5 C. (x + 2)/5 D. (5x − 2)

Question 6

6The composite function f∘g means

Easy

A. g(f(x)) B. f(x) + g(x) C. f(x)g(x) D. f(g(x))

Question 7

7The inverse of f(x) = x + 3 is x − 3.

Easy

A. True B. False

Question 8

8The inverse function f⁻¹ satisfies

Easy

A. f⁻¹(x) = −f(x) B. f(f⁻¹(x)) = x C. f⁻¹(x) = 1/f(x) D. f(x)f⁻¹(x) = 1

Question 9

9The set of all outputs is the

Easy

A. preimage B. domain C. range D. graph

Question 10

10If f(x) = 2x − 8, then f(1) = ___

Easy

Your answer (fill in the blank)